<プレプリント>
Darboux evaluations of algebraic Gauss hypergeometric functions

作成者
本文言語
出版者
発行日
雑誌名
出版タイプ
アクセス権
概要 This paper presents explicit expressions for algebraic Gauss hypergeometric functions. We consider solutions of hypergeometric equations with the tetrahedral, octahedral and icosahedral monodromy grou...ps. Conceptually, we pull-back such a hypergeometric equation onto its Darboux curve so that the pull-backed equation has a cyclic monodromy group. Minimal degree of the pull-back coverings is 4, 6 or 12 (for the three monodromy groups, respectively). In explicit terms, we replace the independent variable by a rational function of degree 4, 6 or 12, and transform hypergeometric functions to radical functions.続きを見る

本文情報を非表示

2006-15 pdf 397 KB 58  

詳細

レコードID
査読有無
関連情報
注記
タイプ
登録日 2009.04.22
更新日 2018.02.23